Study the following information carefully and answer the questions given below.
Six boxes – P, Q, R, S, T and U – are stacked one above the other. Each box contains a different item: Pens, Clocks, Bottles, Radios, Cups and Paints.
All the information is not necessarily in the same order.
The box which contains clocks is placed three boxes below Box T. More than two boxes are placed between Box T and Box Q. The box which is placed two boxes above Box Q contains bottles. The number of boxes above the box which contains bottles is same as the number of boxes placed below Box R. Box P and Box S are placed adjacent to each other. Box S doesn’t contain bottles and pens. Box Q and Box U doesn’t contain Radios. The box which contains radios is placed immediately above the box which contains cups. Box Q doesn’t contain paints. The box which contains paints is not placed below the box which contains Cups.

How many boxes are placed between Box T and Box U?

To find the number of boxes placed between Box T and Box U, let us reconstruct the step-by-step arrangement of the boxes from top (position 6) to bottom (position 1) based on the given clues:

Step 1: Determine the positions of T, Q, and the Clocks.
1. The box containing Clocks is placed three boxes below Box T.
2. More than two boxes (at least 3 boxes) are placed between Box T and Box Q.
3. The box placed two boxes above Box Q contains Bottles.
Let's analyze the possible position of Box T (from 6 to 1):
- If T is at position 5, the Clocks must be at position 2 (3 boxes below T).
- To have more than two boxes between T (5) and Q, Q must be placed at position 1 (which leaves boxes at positions 4, 3, and 2 between them).
- The box placed two boxes above Q (1) contains Bottles, which means the box at position 3 contains Bottles.

Step 2: Determine the position of Box R.
The number of boxes above the box containing Bottles (position 3, so there are 3 boxes above it: 4, 5, and 6) is the same as the number of boxes placed below Box R. Therefore, there must be 3 boxes below Box R, placing Box R at position 4.

Step 3: Place Box P and Box S.
1. Box P and Box S are placed adjacent to each other.
2. The remaining empty positions for boxes are 6, 3, and 2. Since P and S are adjacent, they must occupy positions 3 and 2.
3. We are told Box S does not contain Bottles. Since position 3 contains Bottles, S must be at position 2 (Clocks), and P must be at position 3 (Bottles).
4. This leaves the remaining Box U to be placed at position 6.

Step 4: Fill in the remaining items.
1. Box Q (1) and Box U (6) do not contain Radios.
2. The box containing Radios is immediately above the box containing Cups. The only adjacent positions available for Radios and Cups are 5 (T) and 4 (R) respectively.
3. Box Q does not contain Paints. Thus, Paints must be placed in Box U (6), leaving Pens for Box Q (1).
4. All conditions match perfectly, including that the box containing Paints (6) is not placed below the box containing Cups (4).

Final Arrangement:
Position 6: Box U (Paints)
Position 5: Box T (Radios)
Position 4: Box R (Cups)
Position 3: Box P (Bottles)
Position 2: Box S (Clocks)
Position 1: Box Q (Pens)

Comparing the positions of Box T (position 5) and Box U (position 6), we can see that they are adjacent to each other. Therefore, there are no boxes placed between Box T and Box U.